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Finding the Fourth Proportional to 5,291.65, 7,295.43 and 4,392.01

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Solution

The fourth proportional to 5,291.65, 7,295.43 and 4,392.01 is: 6,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.65 : 7,295.43 = 4,392.01 : x
  2. Step 2: Convert to fraction form
    5,291.65/7,295.43 = 4,392.01/x
  3. Step 3: Cross multiply
    5,291.65x = 7,295.43 × 4,392.01
  4. Step 4: Simplify right side
    5,291.65x = 32,041,601.51
  5. Step 5: Solve for x
    x = 32,041,601.51/5,291.65
  6. Step 6: Final answer
    x = 6,055.12

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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.