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Finding the Fourth Proportional to 3,748.47, 5,622.57 and 975.18

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Solution

The fourth proportional to 3,748.47, 5,622.57 and 975.18 is: 1,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.47 : 5,622.57 = 975.18 : x
  2. Step 2: Convert to fraction form
    3,748.47/5,622.57 = 975.18/x
  3. Step 3: Cross multiply
    3,748.47x = 5,622.57 × 975.18
  4. Step 4: Simplify right side
    3,748.47x = 5,483,017.81
  5. Step 5: Solve for x
    x = 5,483,017.81/3,748.47
  6. Step 6: Final answer
    x = 1,462.73

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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.