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Finding the Fourth Proportional to 4,866.95, 7,298.30 and 1,746.23

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Solution

The fourth proportional to 4,866.95, 7,298.30 and 1,746.23 is: 2,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.95 : 7,298.30 = 1,746.23 : x
  2. Step 2: Convert to fraction form
    4,866.95/7,298.30 = 1,746.23/x
  3. Step 3: Cross multiply
    4,866.95x = 7,298.30 × 1,746.23
  4. Step 4: Simplify right side
    4,866.95x = 12,744,478.28
  5. Step 5: Solve for x
    x = 12,744,478.28/4,866.95
  6. Step 6: Final answer
    x = 2,618.57

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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.