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Finding the Fourth Proportional to 4,648.24, 6,975.04 and 1,875.16

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Solution

The fourth proportional to 4,648.24, 6,975.04 and 1,875.16 is: 2,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.24 : 6,975.04 = 1,875.16 : x
  2. Step 2: Convert to fraction form
    4,648.24/6,975.04 = 1,875.16/x
  3. Step 3: Cross multiply
    4,648.24x = 6,975.04 × 1,875.16
  4. Step 4: Simplify right side
    4,648.24x = 13,079,316.01
  5. Step 5: Solve for x
    x = 13,079,316.01/4,648.24
  6. Step 6: Final answer
    x = 2,813.82

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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.