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Finding the Fourth Proportional to 5,354.40, 8,030.64 and 1,458.48

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Solution

The fourth proportional to 5,354.40, 8,030.64 and 1,458.48 is: 2,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.40 : 8,030.64 = 1,458.48 : x
  2. Step 2: Convert to fraction form
    5,354.40/8,030.64 = 1,458.48/x
  3. Step 3: Cross multiply
    5,354.40x = 8,030.64 × 1,458.48
  4. Step 4: Simplify right side
    5,354.40x = 11,712,527.83
  5. Step 5: Solve for x
    x = 11,712,527.83/5,354.40
  6. Step 6: Final answer
    x = 2,187.46

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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.