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Finding the Fourth Proportional to 4,748.40, 6,543.72 and 4,126.32

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Solution

The fourth proportional to 4,748.40, 6,543.72 and 4,126.32 is: 5,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.40 : 6,543.72 = 4,126.32 : x
  2. Step 2: Convert to fraction form
    4,748.40/6,543.72 = 4,126.32/x
  3. Step 3: Cross multiply
    4,748.40x = 6,543.72 × 4,126.32
  4. Step 4: Simplify right side
    4,748.40x = 27,001,482.71
  5. Step 5: Solve for x
    x = 27,001,482.71/4,748.40
  6. Step 6: Final answer
    x = 5,686.44

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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.