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Finding the Fourth Proportional to 4,746.52, 7,119.51 and 1,283.50

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Solution

The fourth proportional to 4,746.52, 7,119.51 and 1,283.50 is: 1,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.52 : 7,119.51 = 1,283.50 : x
  2. Step 2: Convert to fraction form
    4,746.52/7,119.51 = 1,283.50/x
  3. Step 3: Cross multiply
    4,746.52x = 7,119.51 × 1,283.50
  4. Step 4: Simplify right side
    4,746.52x = 9,137,891.09
  5. Step 5: Solve for x
    x = 9,137,891.09/4,746.52
  6. Step 6: Final answer
    x = 1,925.18

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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.