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Finding the Fourth Proportional to 3,184.04, 4,775.52 and 875

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Solution

The fourth proportional to 3,184.04, 4,775.52 and 875 is: 1,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.04 : 4,775.52 = 875 : x
  2. Step 2: Convert to fraction form
    3,184.04/4,775.52 = 875/x
  3. Step 3: Cross multiply
    3,184.04x = 4,775.52 × 875
  4. Step 4: Simplify right side
    3,184.04x = 4,178,580.00
  5. Step 5: Solve for x
    x = 4,178,580.00/3,184.04
  6. Step 6: Final answer
    x = 1,312.35

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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.