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Finding the Fourth Proportional to 4,457.40, 6,686.12 and 1,683.33

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Solution

The fourth proportional to 4,457.40, 6,686.12 and 1,683.33 is: 2,525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.40 : 6,686.12 = 1,683.33 : x
  2. Step 2: Convert to fraction form
    4,457.40/6,686.12 = 1,683.33/x
  3. Step 3: Cross multiply
    4,457.40x = 6,686.12 × 1,683.33
  4. Step 4: Simplify right side
    4,457.40x = 11,254,946.38
  5. Step 5: Solve for x
    x = 11,254,946.38/4,457.40
  6. Step 6: Final answer
    x = 2,525.00

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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.