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Finding the Fourth Proportional to 5,487.35, 7,567.16 and 5,032.02

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Solution

The fourth proportional to 5,487.35, 7,567.16 and 5,032.02 is: 6,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.35 : 7,567.16 = 5,032.02 : x
  2. Step 2: Convert to fraction form
    5,487.35/7,567.16 = 5,032.02/x
  3. Step 3: Cross multiply
    5,487.35x = 7,567.16 × 5,032.02
  4. Step 4: Simplify right side
    5,487.35x = 38,078,075.30
  5. Step 5: Solve for x
    x = 38,078,075.30/5,487.35
  6. Step 6: Final answer
    x = 6,939.25

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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.