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Finding the Fourth Proportional to 5,302.88, 7,954.32 and 1,407.68

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Solution

The fourth proportional to 5,302.88, 7,954.32 and 1,407.68 is: 2,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.88 : 7,954.32 = 1,407.68 : x
  2. Step 2: Convert to fraction form
    5,302.88/7,954.32 = 1,407.68/x
  3. Step 3: Cross multiply
    5,302.88x = 7,954.32 × 1,407.68
  4. Step 4: Simplify right side
    5,302.88x = 11,197,137.18
  5. Step 5: Solve for x
    x = 11,197,137.18/5,302.88
  6. Step 6: Final answer
    x = 2,111.52

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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.