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Finding the Fourth Proportional to 4,871.02, 7,303.16 and 3,117.10

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Solution

The fourth proportional to 4,871.02, 7,303.16 and 3,117.10 is: 4,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.02 : 7,303.16 = 3,117.10 : x
  2. Step 2: Convert to fraction form
    4,871.02/7,303.16 = 3,117.10/x
  3. Step 3: Cross multiply
    4,871.02x = 7,303.16 × 3,117.10
  4. Step 4: Simplify right side
    4,871.02x = 22,764,680.04
  5. Step 5: Solve for x
    x = 22,764,680.04/4,871.02
  6. Step 6: Final answer
    x = 4,673.49

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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.