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Finding the Fourth Proportional to 5,494.42, 7,582.94 and 5,322.16

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Solution

The fourth proportional to 5,494.42, 7,582.94 and 5,322.16 is: 7,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.42 : 7,582.94 = 5,322.16 : x
  2. Step 2: Convert to fraction form
    5,494.42/7,582.94 = 5,322.16/x
  3. Step 3: Cross multiply
    5,494.42x = 7,582.94 × 5,322.16
  4. Step 4: Simplify right side
    5,494.42x = 40,357,619.95
  5. Step 5: Solve for x
    x = 40,357,619.95/5,494.42
  6. Step 6: Final answer
    x = 7,345.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.