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Finding the Fourth Proportional to 5,666.58, 7,818.69 and 3,428.01

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Solution

The fourth proportional to 5,666.58, 7,818.69 and 3,428.01 is: 4,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.58 : 7,818.69 = 3,428.01 : x
  2. Step 2: Convert to fraction form
    5,666.58/7,818.69 = 3,428.01/x
  3. Step 3: Cross multiply
    5,666.58x = 7,818.69 × 3,428.01
  4. Step 4: Simplify right side
    5,666.58x = 26,802,547.51
  5. Step 5: Solve for x
    x = 26,802,547.51/5,666.58
  6. Step 6: Final answer
    x = 4,729.93

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