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Finding the Fourth Proportional to 5,582.94, 8,374.80 and 1,885.14

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Solution

The fourth proportional to 5,582.94, 8,374.80 and 1,885.14 is: 2,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.94 : 8,374.80 = 1,885.14 : x
  2. Step 2: Convert to fraction form
    5,582.94/8,374.80 = 1,885.14/x
  3. Step 3: Cross multiply
    5,582.94x = 8,374.80 × 1,885.14
  4. Step 4: Simplify right side
    5,582.94x = 15,787,670.47
  5. Step 5: Solve for x
    x = 15,787,670.47/5,582.94
  6. Step 6: Final answer
    x = 2,827.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.