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Finding the Fourth Proportional to 4,746.40, 7,118.88 and 3,663.52

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Solution

The fourth proportional to 4,746.40, 7,118.88 and 3,663.52 is: 5,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.40 : 7,118.88 = 3,663.52 : x
  2. Step 2: Convert to fraction form
    4,746.40/7,118.88 = 3,663.52/x
  3. Step 3: Cross multiply
    4,746.40x = 7,118.88 × 3,663.52
  4. Step 4: Simplify right side
    4,746.40x = 26,080,159.26
  5. Step 5: Solve for x
    x = 26,080,159.26/4,746.40
  6. Step 6: Final answer
    x = 5,494.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.