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Finding the Fourth Proportional to 5,597.04, 7,730.18 and 4,353.06

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Solution

The fourth proportional to 5,597.04, 7,730.18 and 4,353.06 is: 6,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.04 : 7,730.18 = 4,353.06 : x
  2. Step 2: Convert to fraction form
    5,597.04/7,730.18 = 4,353.06/x
  3. Step 3: Cross multiply
    5,597.04x = 7,730.18 × 4,353.06
  4. Step 4: Simplify right side
    5,597.04x = 33,649,937.35
  5. Step 5: Solve for x
    x = 33,649,937.35/5,597.04
  6. Step 6: Final answer
    x = 6,012.10

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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.