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Finding the Fourth Proportional to 3,572.16, 5,358.19 and 975.10

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Solution

The fourth proportional to 3,572.16, 5,358.19 and 975.10 is: 1,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.16 : 5,358.19 = 975.10 : x
  2. Step 2: Convert to fraction form
    3,572.16/5,358.19 = 975.10/x
  3. Step 3: Cross multiply
    3,572.16x = 5,358.19 × 975.10
  4. Step 4: Simplify right side
    3,572.16x = 5,224,771.07
  5. Step 5: Solve for x
    x = 5,224,771.07/3,572.16
  6. Step 6: Final answer
    x = 1,462.64

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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.