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Finding the Fourth Proportional to 4,695.39, 7,041.01 and 1,407.87

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Solution

The fourth proportional to 4,695.39, 7,041.01 and 1,407.87 is: 2,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.39 : 7,041.01 = 1,407.87 : x
  2. Step 2: Convert to fraction form
    4,695.39/7,041.01 = 1,407.87/x
  3. Step 3: Cross multiply
    4,695.39x = 7,041.01 × 1,407.87
  4. Step 4: Simplify right side
    4,695.39x = 9,912,826.75
  5. Step 5: Solve for x
    x = 9,912,826.75/4,695.39
  6. Step 6: Final answer
    x = 2,111.18

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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.