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Finding the Fourth Proportional to 5,420.88, 8,130.48 and 1,417.92

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Solution

The fourth proportional to 5,420.88, 8,130.48 and 1,417.92 is: 2,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.88 : 8,130.48 = 1,417.92 : x
  2. Step 2: Convert to fraction form
    5,420.88/8,130.48 = 1,417.92/x
  3. Step 3: Cross multiply
    5,420.88x = 8,130.48 × 1,417.92
  4. Step 4: Simplify right side
    5,420.88x = 11,528,370.20
  5. Step 5: Solve for x
    x = 11,528,370.20/5,420.88
  6. Step 6: Final answer
    x = 2,126.66

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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.