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Finding the Fourth Proportional to 5,698.60, 8,547.80 and 1,803.00

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Solution

The fourth proportional to 5,698.60, 8,547.80 and 1,803.00 is: 2,704.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.60 : 8,547.80 = 1,803.00 : x
  2. Step 2: Convert to fraction form
    5,698.60/8,547.80 = 1,803.00/x
  3. Step 3: Cross multiply
    5,698.60x = 8,547.80 × 1,803.00
  4. Step 4: Simplify right side
    5,698.60x = 15,411,706.44
  5. Step 5: Solve for x
    x = 15,411,706.44/5,698.60
  6. Step 6: Final answer
    x = 2,704.47

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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.