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Finding the Fourth Proportional to 4,341.52, 6,513.08 and 1,419.98

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Solution

The fourth proportional to 4,341.52, 6,513.08 and 1,419.98 is: 2,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.52 : 6,513.08 = 1,419.98 : x
  2. Step 2: Convert to fraction form
    4,341.52/6,513.08 = 1,419.98/x
  3. Step 3: Cross multiply
    4,341.52x = 6,513.08 × 1,419.98
  4. Step 4: Simplify right side
    4,341.52x = 9,248,443.34
  5. Step 5: Solve for x
    x = 9,248,443.34/4,341.52
  6. Step 6: Final answer
    x = 2,130.23

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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.