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Finding the Fourth Proportional to 4,329.95, 6,495.37 and 1,407.57

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Solution

The fourth proportional to 4,329.95, 6,495.37 and 1,407.57 is: 2,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329.95 : 6,495.37 = 1,407.57 : x
  2. Step 2: Convert to fraction form
    4,329.95/6,495.37 = 1,407.57/x
  3. Step 3: Cross multiply
    4,329.95x = 6,495.37 × 1,407.57
  4. Step 4: Simplify right side
    4,329.95x = 9,142,655.47
  5. Step 5: Solve for x
    x = 9,142,655.47/4,329.95
  6. Step 6: Final answer
    x = 2,111.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.