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Finding the Fourth Proportional to 3,480.04, 4,802.16 and 1,988.08

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Solution

The fourth proportional to 3,480.04, 4,802.16 and 1,988.08 is: 2,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.04 : 4,802.16 = 1,988.08 : x
  2. Step 2: Convert to fraction form
    3,480.04/4,802.16 = 1,988.08/x
  3. Step 3: Cross multiply
    3,480.04x = 4,802.16 × 1,988.08
  4. Step 4: Simplify right side
    3,480.04x = 9,547,078.25
  5. Step 5: Solve for x
    x = 9,547,078.25/3,480.04
  6. Step 6: Final answer
    x = 2,743.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.