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Finding the Fourth Proportional to 5,698.60, 8,547.05 and 1,802.50

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Solution

The fourth proportional to 5,698.60, 8,547.05 and 1,802.50 is: 2,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.60 : 8,547.05 = 1,802.50 : x
  2. Step 2: Convert to fraction form
    5,698.60/8,547.05 = 1,802.50/x
  3. Step 3: Cross multiply
    5,698.60x = 8,547.05 × 1,802.50
  4. Step 4: Simplify right side
    5,698.60x = 15,406,048.61
  5. Step 5: Solve for x
    x = 15,406,048.61/5,698.60
  6. Step 6: Final answer
    x = 2,703.48

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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.