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Finding the Fourth Proportional to 5,586.04, 7,702.32 and 5,097.88

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Solution

The fourth proportional to 5,586.04, 7,702.32 and 5,097.88 is: 7,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.04 : 7,702.32 = 5,097.88 : x
  2. Step 2: Convert to fraction form
    5,586.04/7,702.32 = 5,097.88/x
  3. Step 3: Cross multiply
    5,586.04x = 7,702.32 × 5,097.88
  4. Step 4: Simplify right side
    5,586.04x = 39,265,503.08
  5. Step 5: Solve for x
    x = 39,265,503.08/5,586.04
  6. Step 6: Final answer
    x = 7,029.22

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