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Finding the Fourth Proportional to 3,047.97, 4,580.16 and 2,957.76

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Solution

The fourth proportional to 3,047.97, 4,580.16 and 2,957.76 is: 4,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.97 : 4,580.16 = 2,957.76 : x
  2. Step 2: Convert to fraction form
    3,047.97/4,580.16 = 2,957.76/x
  3. Step 3: Cross multiply
    3,047.97x = 4,580.16 × 2,957.76
  4. Step 4: Simplify right side
    3,047.97x = 13,547,014.04
  5. Step 5: Solve for x
    x = 13,547,014.04/3,047.97
  6. Step 6: Final answer
    x = 4,444.60

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1.5x scale

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.