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Finding the Fourth Proportional to 4,612.65, 6,918.12 and 1,235.49

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Solution

The fourth proportional to 4,612.65, 6,918.12 and 1,235.49 is: 1,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.65 : 6,918.12 = 1,235.49 : x
  2. Step 2: Convert to fraction form
    4,612.65/6,918.12 = 1,235.49/x
  3. Step 3: Cross multiply
    4,612.65x = 6,918.12 × 1,235.49
  4. Step 4: Simplify right side
    4,612.65x = 8,547,268.08
  5. Step 5: Solve for x
    x = 8,547,268.08/4,612.65
  6. Step 6: Final answer
    x = 1,853.01

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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.