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Finding the Fourth Proportional to 4,597.57, 6,341.97 and 3,337.16

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Solution

The fourth proportional to 4,597.57, 6,341.97 and 3,337.16 is: 4,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.57 : 6,341.97 = 3,337.16 : x
  2. Step 2: Convert to fraction form
    4,597.57/6,341.97 = 3,337.16/x
  3. Step 3: Cross multiply
    4,597.57x = 6,341.97 × 3,337.16
  4. Step 4: Simplify right side
    4,597.57x = 21,164,168.61
  5. Step 5: Solve for x
    x = 21,164,168.61/4,597.57
  6. Step 6: Final answer
    x = 4,603.34

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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.