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Finding the Fourth Proportional to 4,680.96, 6,416.88 and 4,597.20

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Solution

The fourth proportional to 4,680.96, 6,416.88 and 4,597.20 is: 6,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.96 : 6,416.88 = 4,597.20 : x
  2. Step 2: Convert to fraction form
    4,680.96/6,416.88 = 4,597.20/x
  3. Step 3: Cross multiply
    4,680.96x = 6,416.88 × 4,597.20
  4. Step 4: Simplify right side
    4,680.96x = 29,499,680.74
  5. Step 5: Solve for x
    x = 29,499,680.74/4,680.96
  6. Step 6: Final answer
    x = 6,302.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.