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Finding the Fourth Proportional to 3,547.99, 5,323.13 and 2,317.80

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Solution

The fourth proportional to 3,547.99, 5,323.13 and 2,317.80 is: 3,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.99 : 5,323.13 = 2,317.80 : x
  2. Step 2: Convert to fraction form
    3,547.99/5,323.13 = 2,317.80/x
  3. Step 3: Cross multiply
    3,547.99x = 5,323.13 × 2,317.80
  4. Step 4: Simplify right side
    3,547.99x = 12,337,939.13
  5. Step 5: Solve for x
    x = 12,337,939.13/3,547.99
  6. Step 6: Final answer
    x = 3,477.45

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1.5x scale

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.